Toward a Statistical Thermodynamics of Steady States

The rate of change of the entropy {ital S} and free energy {ital A} with respect to time for a nonequilibrium system in a steady state is considered. A modified Liouville equation is derived to account for the phase space Jacobian arising from nontrivial phase space compression. With due allowance f...

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Veröffentlicht in:Physical Review Letters 1997-03, Vol.78 (11), p.2042-2045
Hauptverfasser: Tuckerman, Mark E., Mundy, Christopher J., Klein, Michael L.
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container_title Physical Review Letters
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creator Tuckerman, Mark E.
Mundy, Christopher J.
Klein, Michael L.
description The rate of change of the entropy {ital S} and free energy {ital A} with respect to time for a nonequilibrium system in a steady state is considered. A modified Liouville equation is derived to account for the phase space Jacobian arising from nontrivial phase space compression. With due allowance for this factor, the relations {dot S}=0 and {dot A}=0 are obtained, results that are consistent with the assumption of a smooth, differentiable phase space distribution function. {copyright} {ital 1997} {ital The American Physical Society}
doi_str_mv 10.1103/PhysRevLett.78.2042
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subjects DISTRIBUTION FUNCTIONS
ENTROPY
EQUATIONS OF MOTION
FREE ENERGY
PHASE SPACE
PHYSICS
STATISTICAL MECHANICS
STEADY-STATE CONDITIONS
STURM-LIOUVILLE EQUATION
THERMODYNAMICS
title Toward a Statistical Thermodynamics of Steady States
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